By George K. Francis

ISBN-10: 0387345426

ISBN-13: 9780387345420

ISBN-10: 0387681205

ISBN-13: 9780387681207

Praise for George Francis's A Topological Picturebook:

Bravo to Springer for reissuing this detailed and gorgeous e-book! It not just reminds the older iteration of the pleasures of doing arithmetic via hand, but in addition exhibits the hot new release what ``hands on'' relatively means.

- John Stillwell, collage of San Francisco

The Topological Picturebook has taught a complete iteration of mathematicians to attract, to work out, and to think.

- Tony Robbin, artist and writer of Shadows of truth: The Fourth size in Relativity, Cubism, and smooth Thought

The vintage reference for a way to provide topological info visually, jam-packed with remarkable hand-drawn images of advanced surfaces.

- John Sullivan, Technische Universitat Berlin

A Topological Picturebook shall we scholars see topology because the unique discoverers conceived it: concrete and visible, freed from the formalism that burdens traditional textbooks.

- Jeffrey Weeks, writer of The form of Space

A Topological Picturebook is a visible banquet for somebody excited about mathematical pictures. Francis offers beautiful examples to construct one's "visualization muscles". even as, he explains the underlying rules and layout strategies for readers to create their very own lucid drawings.

- George W. Hart, Stony Brook University

In this choice of narrative gemstones and fascinating hand-drawn photos, George Francis demonstrates the chicken-and-egg dating, in arithmetic, of photograph and textual content. because the booklet was once first released, the case for images in arithmetic has been gained, and now it's time to examine their that means. A Topological Picturebook is still indispensable.

- Marjorie Senechal, Smith university and co-editor of the Mathematical Intelligencer

Show description

Read or Download A Topological Picturebook PDF

Similar topology books

Download e-book for kindle: Introduction to Topology (2nd Edition) (Dover Books on by Theodore W. Gamelin, Robert Everist Greene

This quantity explains nontrivial purposes of metric area topology to research, sincerely setting up their dating. additionally, issues from trouble-free algebraic topology specialize in concrete effects with minimum algebraic formalism. chapters think of metric house and point-set topology; the different 2 chapters discuss algebraic topological fabric.

John McCleary's A First Course in Topology: Continuity and Dimension PDF

What percentage dimensions does our universe require for a finished actual description? In 1905, Poincaré argued philosophically in regards to the necessity of the 3 widespread dimensions, whereas fresh study relies on eleven dimensions or maybe 23 dimensions. The suggestion of measurement itself offered a simple challenge to the pioneers of topology.

New PDF release: Qualitative theory of dynamical systems:

Illuminates crucial result of the Lyapunov and Lagrange balance thought for a basic category of dynamical platforms by way of constructing themes in a metric area independantly of equations, inequalities, or inclusions. Applies the overall concept to express sessions of equations. offers new and improved fabric at the balance research of hybrid dynamical platforms and dynamical platforms with discontinuous dynamics

Read e-book online Computational Topology: An Introduction PDF

Combining innovations from topology and algorithms, this e-book can provide what its name grants: an advent to the sphere of computational topology. beginning with motivating difficulties in either arithmetic and laptop technological know-how and build up from vintage themes in geometric and algebraic topology, the 3rd a part of the textual content advances to power homology.

Additional info for A Topological Picturebook

Sample text

The algorithm used by Stephen Gray for these graphs of trigonometric polynomials is quite simple and works well though slowly in BASIC on an Apple. Originally, it took ten dedicated minutes in the dead of night on PLATO's Cyber73/CDC6500 timeshared mainframe. It was the convenience of the PLATO system and the uncommonly supportive personal environment that got me started in programming there rather than on a proper graphics setup. My computer novitiate thus was similar to what awaits current beginners in micro-computing.

CABLE KNOT AND COMPANION. Figure 14. In the same paper of Thurston, there were other knots to be drawn. The computer furnished remarkable stereographs of the knot twisting about a torus eight times as it goes around the long way thrice. But none of the views worked on its own except this one, which depends on conventional shading for its effect. Only the pen, and perusal of Escher's graphics, helped in designing the knot pair at the bottom. It was essential to depict a knot within a knot. Windows or cross sections would have detracted from the continuity.

A figure can be drawn directly on the acetate, using a line pattern or complete picture as an underlay. Ordinary drawing ink works; inks more specifically intended for drawing on film are more permanent. They contain an acid but can be erased with a suitable fluid, at least for a while. This is usually neater than xerography, but more time-consuming. Since the solvent of many inks will smear adjacent pigments already applied, I sometimes color on alternating sides of the sheet. When using several overlays, it pays to tape the sheets together, so that they fit correctly.

Download PDF sample

A Topological Picturebook by George K. Francis


by Edward
4.0

Rated 4.13 of 5 – based on 11 votes